Crack growth in viscoelastic solids under cyclic loading tends to be faster than that static with the same amplitude. This phenomenon, known as “dynamic effect”, is a key mechanism underlying fatigue fracture of soft polymers, but its physical nature remains mystery. We develop scaling theory delineate how dissipation associated crack governed by coupling between three time-dependent processes:...

Abstract Five analytical solutions are presented for processes of linear viscoelastic, homogeneous, and isotropic solids around freshly opened bores / tunnels in various initial stress fields. The obtained via a simple direct realization Volterra’s principle. This is based on an appropriate decomposition the known solution corresponding elastic problem leads to ordinary differential equations t...

We show that viscoelastic effects play a crucial role in the damping of vibrational modes harmonic amorphous solids. The relaxation given plane wave is described by memory function semi-infinite one-dimensions mass-spring chain. initial energy spreads from first site chain to infinity. In beginning chain, there barrier, which significantly reduces decay below Ioffe-Regel frequency. To obtain pa...

We study the existence theory to quasistatic initial-boundary value problems with internal variables, which model the viscoelastic or viscoplastic behavior of solids at small strain. In these problems a system of linear partial differential equations coupled with a nonlinear system of differential equations or differential inclusions must be solved. The solution theory is based on monotonicity ...

Viscoelastic properties of amorphous solids deformed under uniform shear stress were studied using a kind of sandwich method with utilizing a sensitive optical technique. Time-dependent deformation data were analyzed on the basis of a mechanical model of anelasticity plus viscosity. Experiments were performed to determine the temperature dependence of viscosity for several kinds of inorganic gl...

A paradigm for internally driven matter is the active nematic liquid crystal, whereby the equations of a conventional nematic are supplemented by a minimal active stress that violates time-reversal symmetry. In practice, active fluids may have not only liquid-crystalline but also viscoelastic polymer degrees of freedom. Here we explore the resulting interplay by coupling an active nematic to a ...